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Journal Articles

An Efficient Galerkin Averaging-Incremental Harmonic Balance Method Based on the Fast Fourier Transform and Tensor Contraction

Ren Ju, Wei Fan, Weidong Zhu
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. December 2020, 142(6): 061011.
Paper No: VIB-20-1020
https://doi.org/10.1115/1.4047235
Published Online: June 11, 2020
View Article titled, An Efficient Galerkin Averaging-Incremental Harmonic Balance Method Based on the Fast Fourier Transform and Tensor Contraction
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Topics: Fast Fourier transforms, Jacobian matrices, Polynomials, Tensors, Phase diagrams, Pendulums, Computer programming, Robustness, Fourier series, Nonlinear systems
Journal Articles

Dynamic Analysis of General Rotationally Symmetric Built-Up Structures Using a Modified Fourier Spectral Element Approach

Guoyong Jin, Xianglong Ma, Zhigang Liu, Lingkuang Xuan
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research-Article
J. Vib. Acoust. April 2017, 139(2): 021012.
Paper No: VIB-16-1407
https://doi.org/10.1115/1.4035226
Published Online: February 17, 2017
View Article titled, Dynamic Analysis of General Rotationally Symmetric Built-Up Structures Using a Modified Fourier Spectral Element Approach
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Topics: Boundary-value problems, Displacement, Dynamic analysis, Plates (structures), Shells, Spherical shells, Stiffness, Vibration, Vibration analysis, Pipes
Journal Articles

Harmonic Balance Analysis of Snap-Through Orbits in an Undamped Duffing Oscillator

Smruti R. Panigrahi, Brian F. Feeny, Alejandro R. Diaz
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. December 2015, 137(6): 064502.
Paper No: VIB-14-1430
https://doi.org/10.1115/1.4030718
Published Online: December 1, 2015
View Article titled, Harmonic Balance Analysis of Snap-Through Orbits in an Undamped Duffing Oscillator
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Topics: Approximation, Equations of motion, Fourier series, Dynamics (Mechanics)
Journal Articles

Analytical Solutions for Stable and Unstable Period-1 Motions in a Periodically Forced Oscillator With Quadratic Nonlinearity

Albert C. J. Luo, Bo Yu
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. June 2013, 135(3): 034503.
Paper No: VIB-12-1178
https://doi.org/10.1115/1.4023834
Published Online: April 24, 2013
View Article titled, Analytical Solutions for Stable and Unstable Period-1 Motions in a Periodically Forced Oscillator With Quadratic Nonlinearity
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Topics: Bifurcation, Eigenvalues, Excitation, Stability, Fourier series, Steady state
Journal Articles

Determining the Power Flow in a Rectangular Plate Using a Generalized Two-Step Regressive Discrete Fourier Series

Cedric Vuye, Patrick Guillaume, Steve Vanlanduit, Flavio Presezniak, Gunther Steenackers
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research-Article
J. Vib. Acoust. December 2012, 134(6): 061007.
https://doi.org/10.1115/1.4006756
Published Online: October 29, 2012
View Article titled, Determining the Power Flow in a Rectangular Plate Using a Generalized Two-Step Regressive Discrete Fourier Series
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Topics: Flow (Dynamics), Noise (Sound), Poles (Building), Fourier series, Algorithms
Journal Articles

Dynamic Analysis of Circular Cylindrical Shells With General Boundary Conditions Using Modified Fourier Series Method

Lu Dai, Tiejun Yang, W. L. Li, Jingtao Du, Guoyong Jin
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. August 2012, 134(4): 041004.
https://doi.org/10.1115/1.4005833
Published Online: May 31, 2012
View Article titled, Dynamic Analysis of Circular Cylindrical Shells With General Boundary Conditions Using Modified Fourier Series Method
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Topics: Boundary-value problems, Circular cylindrical shells, Fourier series, Shells, Stiffness, Vibration analysis, Vibration, Springs, Dynamic analysis, Mechanical admittance
Journal Articles

Frequency Response Characteristics of Parametrically Excited System

Qinkai Han, Jianjun Wang, Qihan Li
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. August 2010, 132(4): 041004.
https://doi.org/10.1115/1.4000772
Published Online: May 20, 2010
View Article titled, Frequency Response Characteristics of Parametrically Excited System
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Topics: Damping, Excitation, Fourier series, Frequency response, Gears, Resonance, Stiffness, Theorems (Mathematics), Stability, Vibration
Journal Articles

Free In-Plane Vibration Analysis of Rectangular Plates With Elastically Point-Supported Edges

Jingtao Du, Zhigang Liu, Wen L. Li, Xuefeng Zhang, Wanyou Li
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. June 2010, 132(3): 031002.
https://doi.org/10.1115/1.4000777
Published Online: April 14, 2010
View Article titled, Free In-Plane Vibration Analysis of Rectangular Plates With Elastically Point-Supported Edges
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Topics: Boundary-value problems, Corners (Structural elements), Displacement, Fourier series, Plates (structures), Springs, Vibration, Vibration analysis, Stiffness, Polynomials
Journal Articles

Multicell Homogenization of One-Dimensional Periodic Structures

Stefano Gonella, Massimo Ruzzene
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. February 2010, 132(1): 011003.
https://doi.org/10.1115/1.4000439
Published Online: January 8, 2010
View Article titled, Multicell Homogenization of One-Dimensional Periodic Structures
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Topics: Approximation, Dispersion relations, Periodic structures, Springs, Trusses (Building), Wavelength, Fourier transforms, Degrees of freedom, Fourier series
Journal Articles

A Mechanical Fourier Series Generator: An Exact Solution

Izhak Bucher
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. June 2009, 131(3): 031012.
https://doi.org/10.1115/1.3085892
Published Online: April 23, 2009
View Article titled, A Mechanical Fourier Series Generator: An Exact Solution
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Topics: Algorithms, Eigenvalues, Fourier series, Generators, Inverse problems, Springs, Stiffness, Topology, Poles (Building), Excitation
Journal Articles

Identification for Sucker-Rod Pumping System’s Damping Coefficients Based on Chain Code Method of Pattern Recognition

Hongzhao Liu, Baixi Liu, Daning Yuan, Jianhua Rao
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. August 2007, 129(4): 434–440.
https://doi.org/10.1115/1.2748464
Published Online: April 9, 2007
View Article titled, Identification for Sucker-Rod Pumping System’s Damping Coefficients Based on Chain Code Method of Pattern Recognition
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Topics: Chain, Coulombs, Damping, Dynamometers, Pattern recognition, Shapes, Fourier series, Simulation, Friction
Journal Articles

Two-Dimensional Piezoelasticity and Zigzag Theory Solutions for Vibration of Initially Stressed Hybrid Beams

S. Kapuria, N. Alam, N. K. Jain
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. April 2005, 127(2): 116–124.
https://doi.org/10.1115/1.1857923
Published Online: May 3, 2005
View Article titled, Two-Dimensional Piezoelasticity and Zigzag Theory Solutions for Vibration of Initially Stressed Hybrid Beams
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Topics: Displacement, Stress, Vibration, Errors, Shear (Mechanics), Fourier series, Boundary-value problems
Journal Articles

Free Vibration Analysis of an Inflated Toroidal Shell

Akhilesh K. Jha, Graduate Student, Daniel J. Inman, G. R. Goodson Professor and Director, Fellow ASME, Raymond H. Plaut, D. H. Pletta Professor, Fellow ASME
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. July 2002, 124(3): 387–396.
https://doi.org/10.1115/1.1467650
Published Online: June 12, 2002
View Article titled, Free Vibration Analysis of an Inflated Toroidal Shell
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Topics: Free vibrations, Mode shapes, Shells, Fourier series, Pressure, Displacement, Stress, Boundary-value problems, Vibration, Geometry
Journal Articles

Fourier Series Analysis of Epicyclic Gearbox Vibration

James McNames, Assistant Professor,
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. January 2002, 124(1): 150–153.
https://doi.org/10.1115/1.1403735
Published Online: June 1, 2001
View Article titled, Fourier Series Analysis of Epicyclic Gearbox Vibration
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Topics: Fourier series, Mechanical drives, Vibration
Journal Articles

Vibration Control Using Parametric Excitation

Phillip H. Nguyen, Jerry H. Ginsberg
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. July 2001, 123(3): 359–364.
https://doi.org/10.1115/1.1377019
Published Online: February 1, 2001
View Article titled, Vibration Control Using Parametric Excitation
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Topics: Excitation, Pendulums, Fourier series, Vibration control, Resonance
Journal Articles

Reduction of Noise Transmission in a Duct by Termination Impedance Control of a Sidebranch Resonator

M. Utsumi
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. July 2001, 123(3): 289–296.
https://doi.org/10.1115/1.1368118
Published Online: January 1, 2001
View Article titled, Reduction of Noise Transmission in a Duct by Termination Impedance Control of a Sidebranch Resonator
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Topics: Control equipment, Ducts, Noise (Sound), Transfer functions, Fourier series, Algorithms
Journal Articles

Transverse Vibration of a Rectangularly Orthotropic Spinning Disk, Part 1: Formulation and Free Vibration

A. Phylactopoulos, G. G. Adams
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. July 1999, 121(3): 273–279.
https://doi.org/10.1115/1.2893976
Published Online: July 1, 1999
View Article titled, Transverse Vibration of a Rectangularly Orthotropic Spinning Disk, Part 1: Formulation and Free Vibration
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Topics: Free vibrations, Rotating disks, Vibration, Disks, Anisotropy, Differential equations, Eigenfunctions, Eigenvalues, Fourier series, Spin (Aerodynamics)
Journal Articles

Nonconservative Stability of a Friction Loaded Disk

J.-G. Tseng, J. A. Wickert
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. October 1998, 120(4): 922–929.
https://doi.org/10.1115/1.2893921
Published Online: October 1, 1998
View Article titled, Nonconservative Stability of a Friction Loaded Disk
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Topics: Disks, Friction, Stability, Vibration, Stress, Rotation, Aircraft, Brakes, Finite element analysis, Fourier series
Journal Articles

Flexural Vibration of Cylindrical Shells Partially Coupled With External and Internal Fluids

M. Amabili
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. July 1997, 119(3): 476–484.
https://doi.org/10.1115/1.2889748
Published Online: July 1, 1997
View Article titled, Flexural Vibration of Cylindrical Shells Partially Coupled With External and Internal Fluids
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Topics: Fluids, Pipes, Vibration, Shells, Water, Circular cylindrical shells, Computation, Cylinders, Displacement, Fourier series
Journal Articles

Free Vibrations of Thick Hollow Circular Cylinders From Three-Dimensional Analysis

Jinyoung So, A. W. Leissa
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. January 1997, 119(1): 89–95.
https://doi.org/10.1115/1.2889692
Published Online: January 1, 1997
View Article titled, Free Vibrations of Thick Hollow Circular Cylinders From Three-Dimensional Analysis
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Topics: Circular cylinders, Free vibrations, Algebra, Cylinders, Displacement, Fourier series, Poisson ratio, Polynomials, Waves